what is the square root of 35
What is the square root of 35?
Answer:
The square root of 35 is not an integer because 35 is not a perfect square. To find the square root of 35, you can use approximation methods or a calculator.
Approximation Method:
One common approximation method involves finding the two perfect squares between which the number you’re interested in lies. For 35:
- The square root of 36 is 6 (since 6^2 = 36).
- The square root of 25 is 5 (since 5^2 = 25).
Since 35 lies between 25 and 36, its square root will lie between 5 and 6.
Using Calculator or more precise methods:
To get a more accurate value, you would typically use a calculator. The square root of 35 is approximately:
\sqrt{35} \approx 5.916
Irrational Number:
It’s important to note that \sqrt{35} is an irrational number, meaning it cannot be expressed exactly as a fraction of two integers. Therefore, its decimal expansion is non-repeating and non-terminating.
For practical purposes, you can use the approximate value:
\sqrt{35} \approx 5.9161
Thus, while the exact square root of 35 cannot be precisely written as a simple fraction or a finite decimal, the approximate value is sufficient for most practical applications.